Ratio and Proportion: 240: X:: 80: 0.8 (Enter numeric value only.)
Correct Answer : ["2.4"]
The ratio 240:X=80:0.8 to proportion equation becomes
\(\frac{240}{X}=\frac{80}{0.8}\)
Find value of X by cross-products
\(240\ast0.8=80X\)
\(192=80X\)
Divide both sides by 80
\(\frac{192}{80}=\frac{80X}{80}\)
\(2.4=X\)
Thus, X=2.4
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Correct Answer is B
Explanation
First convert 25% to decimal as
25% =\(\frac{25}{100}\)= 0.25
Now, 0.25 = 0.25
Correct Answer is A
Explanation
Remaining fraction =\(1-\frac{1}{3}=\frac{3}{3}-\frac{1}{3}=\frac{2}{3}\)
Number of remaining books
\(\frac{2}{3}\ast67982=\frac{135964}{3}\ books\)
Number of fiction books
\(\frac{75}{100}\ast\frac{135964}{3}\ books=33\ 991\ books\)
Number of non-fiction books is 25% of the remaining books
\(\frac{25}{100}\ast\frac{135964}{3}\ books=11330.333\ books\)
Thus, the number of non-fictional books is 11330.
Correct Answer is C
Explanation
First step is to find the least common divisor of denominators 3, 6, and 5 which is 30. Then:
\(\frac{2}{3}+\frac{1}{6}+\frac{2}{5}=\frac{2\left(10\right)+5+2\left(6\right)}{30}=\frac{20+5+12}{30}=\frac{37}{30}=1\frac{7}{30}\)
Correct Answer is D
Explanation
To find who ate a bigger share, convert the numbers into decimals and compare them.
\(5/8 \frac{5}{8}\)= 0.625
75% =\( \frac{75}{100}\)= 0.75
0.75 is greater than 0.625, meaning that John ate more than Sally.
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